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22114727432 = 2374292372
BaseRepresentation
bin10100100110001000…
…111111011000001000
32010002012202112220222
4110212020333120020
5330242332234212
614054231205212
71412011040000
oct244610773010
963065675828
1022114727432
119419207046
124352216808
132115851045
1410db0c7000
15896741c72
hex52623f608

22114727432 has 180 divisors, whose sum is σ = 51489256455. Its totient is φ = 8903599488.

The previous prime is 22114727431. The next prime is 22114727443. The reversal of 22114727432 is 23472741122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 20108941636 + 2005785796 = 141806^2 + 44786^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105154.

It is a super-2 number, since 2×221147274322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22114727392 and 22114727401.

It is not an unprimeable number, because it can be changed into a prime (22114727431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 597695318 + ... + 597695354.

Almost surely, 222114727432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114727432

22114727432 is an abundant number, since it is smaller than the sum of its proper divisors (29374529023).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22114727432 is an frugal number, since it uses more digits than its factorization.

22114727432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The spelling of 22114727432 in words is "twenty-two billion, one hundred fourteen million, seven hundred twenty-seven thousand, four hundred thirty-two".